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Simplifying 6x + 3 + -3x = 13 + 2(x + 1) Reorder the terms: 3 + 6x + -3x = 13 + 2(x + 1) Combine like terms: 6x + -3x = 3x 3 + 3x = 13 + 2(x + 1) Reorder the terms: 3 + 3x = 13 + 2(1 + x) 3 + 3x = 13 + (1 * 2 + x * 2) 3 + 3x = 13 + (2 + 2x) Combine like terms: 13 + 2 = 15 3 + 3x = 15 + 2x Solving 3 + 3x = 15 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 3 + 3x + -2x = 15 + 2x + -2x Combine like terms: 3x + -2x = 1x 3 + 1x = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 1x = 15 + 0 3 + 1x = 15 Add '-3' to each side of the equation. 3 + -3 + 1x = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 15 + -3 1x = 15 + -3 Combine like terms: 15 + -3 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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